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44001333331 = 193497698629
BaseRepresentation
bin101000111110101011…
…110001000001010011
311012120112021022221021
4220332223301001103
51210103320131311
632114113140311
73115252106434
oct507653610123
9135515238837
1044001333331
111772a672a9a
12863bb5a697
1341c304cb17
1421b5b8b48b
151227e22171
hexa3eaf1053

44001333331 has 16 divisors (see below), whose sum is σ = 46515700000. Its totient is φ = 41507168256.

The previous prime is 44001333323. The next prime is 44001333377. The reversal of 44001333331 is 13333310044.

It is a happy number.

44001333331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 44001333331 - 23 = 44001333323 is a prime.

It is a super-2 number, since 2×440013333312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 44001333296 and 44001333305.

It is not an unprimeable number, because it can be changed into a prime (44001333301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5094925 + ... + 5103553.

It is an arithmetic number, because the mean of its divisors is an integer number (2907231250).

Almost surely, 244001333331 is an apocalyptic number.

44001333331 is a deficient number, since it is larger than the sum of its proper divisors (2514366669).

44001333331 is a wasteful number, since it uses less digits than its factorization.

44001333331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9766.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 44001333331 its reverse (13333310044), we get a palindrome (57334643375).

It can be divided in two parts, 440013 and 33331, that added together give a square (473344 = 6882).

The spelling of 44001333331 in words is "forty-four billion, one million, three hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 19 349 769 6631 8629 14611 163951 268381 3011521 5099239 6635701 57218899 126078319 2315859649 44001333331